Finding the Third Proportional to 85,942 and 132,802

Step by Step Solution

1. Step 1: Write the proportion equation
   85,942 : 132,802 = 132,802 : x
2. Step 2: Convert to fraction form
   85,942/132,802 = 132,802/x
3. Step 3: Cross multiply
   85,942x = 132,802 × 132,802
4. Step 4: Simplify right side
   85,942x = 17,636,371,204
5. Step 5: Solve for x
   x = 17,636,371,204/85,942
6. Step 6: Final answer
   x = 205,212.48